Elimination Method Strategy

What would be the first step to solve this system by elimination?

2x+9y= -7

6x-3y= 9

• Add the equations

• Subtract the equations

• Write each equation in slope intercept form.

• Multiple the first equation by 3 or -3

To eliminate the x-variable in the system of equations, multiply the second equation by which number?

• -3

• -2

• -1

• 0

Solve using Elimination Method:

9x - 4y = 7

x - 4y = -17

• (-1,5)

• (-7,5)

• (7,5)

• (3,5)

Solve by elimination.

6x - y = 2

-3x - 6y = 12

• (2,0)

• no solution

• (0,-2)

• infinite solutions

solve the system

• No solution

• infinite solutions

• (0,0)

• (5,1)

• (5,0)

solve using elimination

• (0,2)

• (1,3)

• (0,3)

• (2,1)

solve using elimination

• (3,-2)

• (2,4)

• (3,4)

• (2,3)

Which is the best method for solving this system of equations?

-4x-2y=-12

4x+8y=-24

• Substitution

• Elimination

• Equal Values

When using any of the 3 methods to solve a system of linear equations the resulting solution is the same no matter which method is used.

• True; using any method will result in the correct solution.

• False; the solution varies because the solution depends on which method is used.

Solve the system by elimination. 
−4x − 4y = 0
4x + 4y = 0 

• (−6, −4) 

• Infinite number of solutions  

• (−6, 10) 

• (6, 4)